15a^2x^2+12a^2x+9a^2=3a^2

Simple and best practice solution for 15a^2x^2+12a^2x+9a^2=3a^2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 15a^2x^2+12a^2x+9a^2=3a^2 equation: 


Simplifying
15a2x2 + 12a2x + 9a2 = 3a2

Reorder the terms:
9a2 + 12a2x + 15a2x2 = 3a2

Solving
9a2 + 12a2x + 15a2x2 = 3a2

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3a2' to each side of the equation.
9a2 + 12a2x + -3a2 + 15a2x2 = 3a2 + -3a2

Reorder the terms:
9a2 + -3a2 + 12a2x + 15a2x2 = 3a2 + -3a2

Combine like terms: 9a2 + -3a2 = 6a2
6a2 + 12a2x + 15a2x2 = 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
6a2 + 12a2x + 15a2x2 = 0

Factor out the Greatest Common Factor (GCF), '3a2'.
3a2(2 + 4x + 5x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(2 + 4x + 5x2)' equal to zero and attempt to solve:

Simplifying
2 + 4x + 5x2 = 0

Solving
2 + 4x + 5x2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + 4x + -2 + 5x2 = 0 + -2

Reorder the terms:
2 + -2 + 4x + 5x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4x + 5x2 = 0 + -2
4x + 5x2 = 0 + -2

Combine like terms: 0 + -2 = -2
4x + 5x2 = -2

Add '-4x' to each side of the equation.
4x + -4x + 5x2 = -2 + -4x

Combine like terms: 4x + -4x = 0
0 + 5x2 = -2 + -4x
5x2 = -2 + -4x

Add '-5x2' to each side of the equation.
5x2 + -5x2 = -2 + -4x + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 = -2 + -4x + -5x2

Simplifying
0 = -2 + -4x + -5x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

See similar equations:

| 4m-4=4m-1 | | 3e^6x=9 | | 4-2x*x+1=x | | logx(1/16)=4 | | e^2k=1 | | 51-4x=6-9x | | 0.55= | | 13+4x-9=7x-3x | | (0)=x^2-x+10 | | 1.5xn=36 | | -7=x^2-x+10 | | -1.07x=-3.21 | | w/2-3*14 | | 3e^6x-2=6 | | 4x^2-19x+9=-2x+5 | | 9=x^2-x+10 | | (4x+40)=3x | | -2x+7=6x-9 | | y=3x+4z | | 9x+26=2x+222 | | 2u-100u+u=0 | | 3/8×9/16 | | -4t+-12=-20 | | 5(p+4)=40 | | (2x-8)*(5x-9)= | | -4x+4x=-8+26x | | y=x-0.04x^2 | | n8/2-10=14 | | n/1.5=23.333 | | 10x+5y=16.50 | | 1.5=23.3 | | 2.35=1-2x+4x+x |

Equations solver categories